Closed form evaluation of element coupling coefficients ion conformal arrays on general quadric cylinders

A closed-form geodesic constant method (GCM) is developed to model the ray-geometric aspects of conformal arrays on QUACYLs (quadric cylinders). The formulation incorporates a shaping parameter, permitting the modeling of surfaces of different sharpness. Mutual coupling results for the general parabolic cylinder are presented to illustrate the application of the formulation.<>